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# exponential decay and interest compounded continuously

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Attached are the questions

1. Complete table for savings in which interest is compounded continously.

2. Complete table for radioactive isotope

3. The population of P of a city is given by P= 105300 e^0.015t, where t represents the year with t=0 corresponding to 2000. Sketch the graph of this equation. According to this model, in which year will city have population of 150,000?

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#### Solution Preview

Please see the details in the attached file.

1. Complete table for savings in which interest is compounded continously.

Initial investment Annual rate Time to double total
\$1000 ? ? \$2281.88

If a bank compounds continuously, then the formula takes a simpler, that is

Where P is the ...

#### Solution Summary

The solution includes several applications of exponential function: exponential decay, interest compounding, and population growth.

\$2.49